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Finding the Fourth Proportional to 194,052, 290,920.32 and 87,357.60

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Solution

The fourth proportional to 194,052, 290,920.32 and 87,357.60 is: 130,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,052 : 290,920.32 = 87,357.60 : x
  2. Step 2: Convert to fraction form
    194,052/290,920.32 = 87,357.60/x
  3. Step 3: Cross multiply
    194,052x = 290,920.32 × 87,357.60
  4. Step 4: Simplify right side
    194,052x = 25,414,100,946.43
  5. Step 5: Solve for x
    x = 25,414,100,946.43/194,052
  6. Step 6: Final answer
    x = 130,965.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.